Answer:
x < -8/21
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](\frac{5}{2} * 3x) + (\frac{5}{2} * 4) < -3x + 6[/tex] [tex]\frac{15}{2}x + 10 < -3x + 6[/tex]Step 2: Add 3x to both sides.
[tex]\frac{15}{2}x + 10 + 3x < -3x + 6 + 3x[/tex] [tex]\frac{21}{2}x + 10 < 6[/tex]Step 3: Subtract 10 from both sides.
[tex]\frac{21}{2}x + 10 - 10 < 6 - 10[/tex] [tex]\frac{21}{2}x < -4[/tex]Step 4: Multiply both sides by 2/21.
[tex]\frac{21}{2}x * \frac{2}{21} < -4 * \frac{2}{21}[/tex] [tex]x < -\frac{8}{21}[/tex]Therefore, the answer is x < -8/21.
One fifth of the difference of a number and 1?
If you are asking for that to be in expression form, that would be:
1/5(x-1)
Let x be the number.
Answer: The expression that models this situation is given by:
x-1/5
---------------------------
The number is unknown, so it is called x.
The difference between 3 and 2 is 3 - 2 = 1, between 10 and 5 is 10 - 5 = 5, and so on. Thus, the difference between a number and 1 is x - 1.
One fifth of a number is the number divided by 5. Thus, in this context, the expression that represents one fifth of the difference of a number and 1 is given by:
x-1/5
There’s another problem that has the same question at this link:
https://brainly.com/question/20742606
Need help pls pls pls asap pls
Answer:
C(h) = 1+.25h
Step-by-step explanation:
Total cost = flat fee plus .25 times h ( where h is the number of hours)
C(h) = 1+.25h
If 10 litres of paint cost £45 find the cost of 13litres
Answer:
£58.50
Step-by-step explanation:
Ratio of Paint : Cost
10 : 45
13 : x
10x : 585
[tex] \frac{10x}{10} = \frac{585}{10} \\ x = 58.5 [/tex]
Can someone help me with this
Answer:
4/5, 3/4, 5/7, 2/7, 1/7
Step-by-step explanation:
Answer:
I am here to help you like a hero
Step-by-step explanation:
so the order is 4/5,3/4,5/7,2/7,1/7
Mel bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenari
The equation that models the situation is: 89.22 = $10.95p + $12.57.
The cost of one pizza is $10.95. The cost of 2 pizzas would be equivalent to the multiplication of $10.95 by 2. Since we are not provided with the information on the total amount of pizza she bought, the total number of pizza bought would be represented with p.
Thus the total cost of p boxes of pizza = $10.95 x p = $10.95p
The total amount spent on sodas is $12.57.
The total amount spent is $89.22.
The equation that models the situation is: 89.22 = $10.95p + $12.57.
A similar question was answered here: https://brainly.com/question/20063434?referrer=searchResults
3. (05.06 MC)
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y<-
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
Step-by-step explanation:
y > 3x + 10
y < -3x - 1
Part A:You'd graph the given systems of linear inequalities the same way as you graph the linear equations.
To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph. Use a dashed line (because of the ">" symbol).
Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).
Pick a test point on either side of the boundary line and plug it into the original problem. This will help determine which side of the boundary line is the solution. Plug in a test point that is not on the boundary line.
Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.
y > 3x + 10
0 > 3(0) + 10
0 > 0 + 10
0 > 10 (False statement).
y < -3x - 1
0 < -3(0) - 1
0 < 0 - 1
0 < -1 (false statement).
Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.
Part B:
You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.
y > 3x + 10
10 > 3(8) + 10
10 > 24 + 10
10 > 34 (False statement).
y < -3x - 1
10 < -3(8) - 1
10 < -24 - 1
10 < -25 (false statement).
Therefore, (8, 10) is not a solution to the system.
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Combine like terms. What is a simpler form of the expression?
−3(−4y+3)+7y
help pls
Answer:
19y - 9
Step-by-step explanation:
- 3(- 4y + 3) + 7y ← multiply each term in the parenthesis by - 3
= 12y - 9 + 7y ← collect like terms
= 19y - 9
Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (-2,3), (5, 5)
There isn't any graph example but I need help!!! i will award 10 brainiest
Answer:
Slope: 2/7
Step-by-step explanation:
y2 - y1/ x2 - x1 = 2/7
Evaluate the infinite series:
[tex] \displaystyle \large{ \sum_{n = 1}^{ \infty} \frac{1}{(n + 1) \sqrt{n} + n \sqrt{n + 1} } }[/tex]
Please show your work too — thanks!
9514 1404 393
Answer:
sum = 1
Step-by-step explanation:
The method of partial sums has you look at sums of various numbers of terms of the series to see if there is a pattern that suggests either divergence or a limit. Here, the partial sums suggest the series sum is 1.
__
In the attachment, we have computed sums of 1 term, 10 terms, 100 terms, and so on up to 10^8 terms. These sums seem to approach the value 1.
Individual terms get small faster than for a harmonic series, which his known not to converge, but more slowly than a quadratic series. Large numbered terms are approximately proportional to n^-(3/2).
_____
You can actually compute the sum exactly, without reference to partial sums. Each term of the sum can be rewritten as ...
[tex]\dfrac{1}{(n+1)\sqrt{n}+n\sqrt{n+1}}=\dfrac{1}{\sqrt{n(n+1)}(\sqrt{n+1}+\sqrt{n})}\\\\=\dfrac{\sqrt{n+1}-\sqrt{n}}{\sqrt{n(n+1)}}=\dfrac{1}{\sqrt{n}}-\dfrac{1}{\sqrt{n+1}}[/tex]
Then successive terms will cancel the intermediate fractions. So, for example, the sum of the first 3 terms is ...
(1/√1 -1/√2) +(1/√2 -1/√3) +(1/√3 -1/√4) = 1 -1/√4
This means the given sum will evaluate to ...
1 -1/√∞ = 1 -0 = 1 . . . sum of the infinite series
What is the easiest way to solve 5-x=10 whilst showing working out
The sum of half of a number and 8 less
than the number is 25. Find the number.
Answer:
The number is 22
Step-by-step explanation:
let x = the number
[tex] \frac{1}{2} x + x - 8 = 25 \\ \frac{1}{2} x + x - 8 + 8 = 25 + 8 \\ \frac{1}{2} x + x = 33 \\ factor \: out\: x \: on \: the \: left \\ x( \frac{1}{2} + 1) = 33 \\ divide \: both \: sides \: by \: \frac{1}{2} + 1 \\ \frac{x( \frac{1}{2} + 1) }{ \frac{1}{2} + 1} = \frac{33}{ \frac{1}{2} + 1} \\ x = \frac{33}{ \frac{3}{2} } \\ x = \frac{66}{3} \\ x = 22[/tex]
let's factor out x from the left hand sid
Courtney has a total of 88 stamps worth $15.56. Some are $0.25 stamps and some are $0.02 stamps. How many of each foes she have?
Let x = # of 25-cent stamps
y = # of 2-cent stamps
{ x+ y = 88
{ 0.25x + 0.02y = 15.56
60 25-cent stamps 28 2-cent stamps
6 1/2 + 2 5/8 as a fraction
Answer:
[tex]9\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]6\frac{1}{2} + 2\frac{5}{8} =\\\\ \\6+2 = 8\\\\\\8 \frac{1}{2} + \frac{5}{8} \\[/tex]
lcm of 2 and 8 is 8
[tex]8\frac{4+5}{8} = 8\frac{9}{8} = 9\frac{1}{8}\\[/tex]
In the community raffle, Niko bought 50 tickets. The contest stated that 200 tickets were sold. What is the probability that one of his tickets will not be drawn?
Which two triangles are congruent by the SSS Theorem? Complete the congruence
statement.
Last week, Makayla took 8 express bus rides, which cost her $34. Which equation models the cost in dollars, c, per express bus ride, b.
Based on the cost of the bus rides in total and the number of buses taken, the relevant equation would be c = 34/b.
Makayla took 8 express bus rides and this cost her $34 in total. The cost of each bus ride is therefore:
= Total cost of rides / Number of rides taken
With the cost per ride being c and the bus ride being b, the equation would be:
c = 34/b
In conclusion, to find the cost of each bus ride, use the equation c = 34/b.
Find out more at https://brainly.com/question/17689601.
HELP ASAP NOW LIKE NOW
Consider cashiers and people who line up for the cashiers in a supermarket, in how many ways can 3 people line up for 3 cashiers
The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.
First, we consider the number of ways in which we can arrange the 3 cashiers. Since order matters, we use permutation. So, we have ³P₃ ways of arranging the 3 cashiers. ³P₃ = 3 × 2 × 1 = 6 ways.
Also, the number of ways we can arrange the 3 people to line up since order matters is ³P₃ = 3 × 2 × 1 = 6 ways.
So, the total number of ways in which we can arrange both the 3 cashiers and the 3 people in a line is ³P₃ × ³P₃ = 6 × 6 = 36 ways.
The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.
Learn more about permutations here:
https://brainly.com/question/12974932
Answer:
60 ways
Step-by-step explanation:
So, sadly there is no real algorithm that I could find for this so I just went ahead and listed all the ways that the people can be organized
3,0,0
0,3,0
0,0,3
2,1,0
2,0,1
1,2,0
1,0,2
0,2,1
0,1,2
1,1,1
So, we have 10 ways to organize them. But we need to remember that there are also 6 ways to randomly organize 3 people. So, 10x6 is 60
PLS HELP I GOTTA TURN THIS INNN
Answer:
Lauren
Step-by-step explanation:
1/2 is Erin
3/4 is Lauren
Answer:
1/2 for Eric and 6/8 for lauren
Eric: 1/2 = 4/8
Lauren: 6/8
Lauren was more succesful
Step-by-step explanation:
Sau một thời gian sử dụng, một tủ sách nghệ thuật đã có dấu hiệu bị xuống cấp và
cần sửa lại (xem hình vẽ). Các ngăn BC, DE và FG gỗ bị
mục và cần thay mới. Chủ nhà sách cần 3 miếng ván sao
cho khớp với các vị trí này. Em hãy giúp chủ nhà sách
tính toán chiều dài các miếng ván này sao cho khớp với
các vị trí cần thay thế. Biết ngăn HI=12 dm. Tính chiều
dài các ngăn BC;DE;FG
Answer:
Step-by-step explanation:
HELP HELP HELP HELP HELP HELP
Problem 1
I'm assuming your teacher means "list all the possible rational roots".
If so, then we use the rational root theorem. This is the idea where we'll divide the factors of the last term over the factors of the first coefficient.
Factors of 5: 1, 5Factors of 3: 1, 3If we divide said factors in the order mentioned, then we get this list of possible positive rational roots:
1/1, 1/3, 5/1, 5/3
That list simplifies to
1, 1/3, 5, 5/3
That takes care of the positive possible rational roots. We double the list to incorporate the negative possible rational roots as well
-1, -1/3, -5, -5/3
Answer: 1, -1, 1/3, -1/3, 5, -5, 5/3, -5/3Note: We can rewrite that list in bold into [tex]\pm 1, \pm\frac{1}{3}, \pm 5, \pm \frac{5}{3}[/tex] to shorten it.
============================================================
Problem 2
We'll follow the same idea as the previous problem
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 4: 1, 2, 4
To keep track of everything, I made a spreadsheet table. Refer to the diagram below. The factors of 36 are laid across the top while the factors of 4 are along the left side. Each inner cell represents dividing the headers.
For example, 36/4 = 9 is in the bottom right corner. The first table is before the fractions are reduced, and the second table after the fractions are reduced.
As the second table shows, we have a few repeats. The unique items here are:
1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4
We'll then mirror this set to include negative values as well to write the full list of all possible rational roots.
Answer: 1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4-1,-2,-3,-4,-6,-9,-12,-18,-36,-1/2,-3/2,-9/2,-1/4,-3/4,-9/4============================================================
Problem 3
Factors of 15: 1, 3, 5, 15Factors of 5: 1, 5Divide the factors of 15 over the factors of 5 to get
1/1, 1/5, 3/1, 3/5, 5/1, 5/5, 15/1, 15/5
That list reduces to
1, 1/5, 3, 3/5, 5, 1, 15, 3
we can then toss out the duplicates to get
1, 3, 5, 15, 1/5, 3/5
Don't forget to include the negative values as well
Answer: 1, 3, 5, 15, 1/5, 3/5-1, -3, -5, -15, -1/5, -3/5============================================================
Problem 4
The steps will be effectively the same as before. You can write out the factors like done in problem 3, or make a table like done in problem 2. I'll skip the steps shown here unless you need me to go over them.
Answer: 1, 3, 9, 1/2, 3/2, 9/2-1, -3, -9, -1/2, -3/2, -9/2============================================================
Problem 5
There's not really much new here, except for the fact that the first term has coefficient of 1. This is a special case where all we have to do is list the factors of the last term -40 to generate all the roots we need. This is because each time we're dividing over +1 or -1 which doesn't really change the overall result (except for the sign part).
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Don't forget the negative values as well
Answer:1, 2, 4, 5, 8, 10, 20, 40-1, -2, -4, -5, -8, -10, -20, -40What are the y-intercept and the slope of the graph of the
following equation?
-2x + 4y = 8
Answer:
slope=2/4 or 1/2
Y-Intercept=8
Step-by-step explanation:
-2x+4y=8
+2x both sides
4y=2x+8 /4
y=2/4x+8
Slope=2/4 or 1/2
Y-Intercept=8
let (3x+24) represent the measure of a right angle. what are the possible values of x?
Answer:
x=22
Step-by-step explanation:
because 3x+24=90
3x=90-24
3x=66
x=22
brainlist please
Help me with this it is math
Answer:
i can my googl
hangouts is hello jazlyn 2279
Step-by-step explanation:
Find the slope of the line through each pair of point
Answer:
what are the pair of points?
A laboratory is testing a product by heating or cooling it at different rates. The table shows the results of four tests. Drag a number to each empty cell to complete the table.
ill give brainliest
Answer:Cell content
Started at 20° and dropped 4° each minute -4
Cell content
Started at −20° and rose 1° each minute 1
Cell content
Started at 20° and dropped 1° each minute -1
Cell content
Started at −20° and rose 4° each minute 1
Step-by-step explanation:
Answer:
Cell content
Started at 20° and dropped 4° each minute -4
Cell content
Started at −20° and rose 1° each minute 1
Cell content
Started at 20° and dropped 1° each minute -1
Cell content
Started at −20° and rose 4° each minute 1
Step-by-step explanation:
Find the value of X, rounded to the nearest tenth.
A. 31.8
B. 31.4
C. 10.3
D. 10.7
Answer:
31.4
Step-by-step explanation:
x=18/sin35
x= 31.38
=31.4(nearest tenth )
Your aunt loves to bake cookies she is planning on opening a bakery she usually makes 50 cookies for a small family gatherings your aunt wants to bake 10 times as many cookies for her grand opening how many cookies will your need to bake
Answer:
500=10x50
Step-by-step explanation:
Identify if the given statement is true or false.
The incenter is the point of concurrency of the altitudes of a triangle.
True or False
Answer:
false, true, false
Step-by-step explanation:
If 4 hours are required to type 16 pages, how many hours would be required to type 28 pages?
ANSWER
112
EXPLAINATION
28÷16 = 7
7×16 = answers
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university; however, she must pay in euros. How many euros can Varia expect to pay per month to the university? (Round to the nearest whole euro.)
0.7306euros = 1 US dollar
Answer:
3500
Step-by-step explanation:
if you rounding 0.7306 up to nearest euro its equal to a dollar
The number of euros that Varia can expect to pay per month to the university will be € 213.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university, however, she must pay in euros.
We know that the conversion is 0.7306 euros = 1 US dollar. Then the number of euros per year is given as,
⇒ $3,500 x 0.7306
⇒ €2,557.1
Then the number of euros that Varia can expect to pay per month to the university will be given as,
⇒ €2,557.1 / 12
⇒ € 213.09
⇒ € 213
The number of euros that Varia can expect to pay per month to the university will be € 213.
More about the conversion link is given below.
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